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. 2022 May 31;5(3):45. doi: 10.3390/mps5030045

Table 1.

Summary of features extracted from data series generated by each sensor (x) per each window of size N. The frequency-domain features were calculated using the Fourier Transform coefficients (Fi).

Domain No. Name Equation Description References
Time 1 Mean μ(x)=1Ni=1Nxi Average of the data  [15,19,20,25,26,27,28,29]
2 Range r(x)=max(x)min(x) Difference between the greatest and the smallest values in the data  [29]
3 Standard Deviation σ(x)=1Ni=1N(xiμ)2 Measure of dispersion in the data  [15,20,25,27,29]
4 Skewness s(x)=1Nσ3i=1N(xiμ)3 Measure of asymmetry of a distribution around its mean  [25,26,28]
5 Kurtosis k(x)=1Nσ4i=1N(xiμ)4 Measure of how different a distribution’s tails are from the tails of a normal distribution  [25,26,28]
Frequency 6 DFR DFR(x)=max({F1,...,Fn})i=1N/2Fi Dominant Frequency Ratio, ratio of highest magnitude FFT coefficient to the sum of magnitudes of all FFT coefficients  [29]
7 Entropy entropy(x)=i=1N/2Filog2Fi Information entropy of the normalised values of FFT coefficient magnitude  [15,29]
8 Energy energy(x)=i=1N/2Fi2 Sum of the squared discrete FFT component magnitudes  [19,25,28]